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Finding the Fourth Proportional to 20,472,783,168.07, 30,709,174,752.11 and 20,472,783,168.07

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Solution

The fourth proportional to 20,472,783,168.07, 30,709,174,752.11 and 20,472,783,168.07 is: 30,709,174,752.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,472,783,168.07 : 30,709,174,752.11 = 20,472,783,168.07 : x
  2. Step 2: Convert to fraction form
    20,472,783,168.07/30,709,174,752.11 = 20,472,783,168.07/x
  3. Step 3: Cross multiply
    20,472,783,168.07x = 30,709,174,752.11 × 20,472,783,168.07
  4. Step 4: Simplify right side
    20,472,783,168.07x = 628,702,275,970,317,811,712
  5. Step 5: Solve for x
    x = 628,702,275,970,317,811,712/20,472,783,168.07
  6. Step 6: Final answer
    x = 30,709,174,752.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.